Question

Snow began falling at noon on Sunday. The amount of snow on the eground at a certain location at time t was given by the function h(t)=11.60t−12.41t²2+6.20t³−1.58t⁴+0.20t⁵−0.01t⁶ where t is measured in days from the start of the snowfall and h(t) is the depth of snow in inches. Draw a graph of this function, and use your graph to answer the following questions. Was there ever more than 5 in. of snow on the ground? If so, on what day(s)?

Answer 1

To determine if there was ever more than 5 inches of snow on the ground, we can graph the given function and identify the points where the function exceeds 5 inches. By substituting those points back into the function, we can find the corresponding day(s).

Step-by-step explanation:

To answer this question, we need to analyze the function h(t) = 11.60t - 12.41t²/2 + 6.20t³ - 1.58t⁴ + 0.20t⁵ - 0.01t⁶, which represents the amount of snow on the ground at time t. To determine if there was ever more than 5 inches of snow, we can graph the function. By plotting the function on a graph, we can visually determine the points where h(t) exceeds 5 inches. We can then find the corresponding day(s) by substituting those points back into the function to solve for t.